Answer:
(a) The general solution of given differential equation is .
(b) The unique solution is .
Step-by-step explanation:
(a)
The given differential equation is
Use variable separable method, to solve the above differential equation.
Separate the variables.
Integrate both sides.
The general solution of given differential equation is .
(b)
The given differential equation is
Use variable separable method, to solve the above differential equation.
Separate the variables.
Integrate both sides.
... (1)
It is given that y=1 at t=3. Substitute y=1 and t=3 in the above equation.
Substitute in equation (1).
Therefore the unique solution is .